2011.10: Commuting Involution Graphs for 3-Dimensional Unitary Groups
2011.10: Alistaire Everett (2011) Commuting Involution Graphs for 3-Dimensional Unitary Groups.
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Abstract
For a group G and X a subset of G the commuting graph of G on X, denoted by C(G,X), is the graph whose vertex set is X with x, y in X joined by an edge if x =/= y and x and y commute. If the elements in X are involutions, then C(G,X) is called a commuting involution graph. This paper studies C(G,X) when G is a 3-dimensional projective special unitary group and X a G-conjugacy class of involutions, determining the diameters and structure of the discs of these graphs.
| Item Type: | MIMS Preprint |
|---|---|
| Uncontrolled Keywords: | Unitary Groups; Involutions; Commuting Involution Graphs |
| Subjects: | MSC 2000 > 20 Group theory and generalizations |
| MIMS number: | 2011.10 |
| Deposited By: | Mr Alistaire Everett |
| Deposited On: | 18 January 2011 |
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